模拟民事法庭案例:简便运算04

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1分之1*2 + 1分之2*3 + 1分之3*4 + 1分之4*5 +~~1分之9*10

1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+...+1/(9*10)
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/9-1/10)
=1-1/10
=9/10

=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5......+1/8-1/9+1/9-1/10
=1+1/10=1.1